期刊名称：Journal of Statistical Theory and Applications (JSTA)
电子版ISSN：1538-7887
出版年度：2017
卷号：16
期号：3
页码：384-402
DOI：10.2991/jsta.2017.16.3.10
语种：English
出版社：Atlantis Press
摘要：A new three parameter model called the odd log-logistic Marshall-Olkin-Lindley (OLLMO-L) distribution is proposed and studied. This distribution is symmetric, platykurtic, leptokurtic and unimodal. Various structural properties are derived, including explicit expressions for the ordinary and conditional moments, generating function and order statistics. We use maximum likelihood method to estimate the parameters of model. Simulation studies for some particular cases are also run to assess the performance of the maximum likelihood estimators. We prove empirically that the proposed distribution is a very competitive model to other classical models by means of two real data sets.
关键词：Lindley distribution; Maximum Likelihood; Moment; Odd log-logistic; Lifetime data; Characterizations
